335664000 has 640 divisors, whose sum is σ = 1463267520. Its totient is φ = 74649600.

The previous prime is 335663983. The next prime is 335664041. The reversal of 335664000 is 466533.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×335664000² = 225340641792000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9071982 + ... + 9072018.

Almost surely, 2^335664000 is an apocalyptic number.

335664000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731633760).

335664000 is an abundant number, since it is smaller than the sum of its proper divisors (1127603520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

335664000 is an equidigital number, since it uses as much as digits as its factorization.

335664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 335664000 is about 18321.1353359992. The cubic root of 335664000 is about 694.9735165797.

The spelling of 335664000 in words is "three hundred thirty-five million, six hundred sixty-four thousand".